Study of Nuclei with A = 5 on the Basis of the Unitary Scheme Model

Abstract

The total antisymmetric wave functions of the different states of nuclei with A = 5 are calculated by using the basis of the unitary scheme model corresponding to numbers of quanta of excitations N = 1, 2, 3, 4, 5, 6, and 7. The residual interactions used in these calculations are the Gogny et al. potential, the Doma et al. Potential, and an effective interaction which has been used successfully for the nucleus 6Li. The energy matrices for nuclei with A = 5 are diagonalized in terms of the oscillator parameter ℏω, which is varied in order to obtain the best fit to the spectra of these nuclei. The binding energy, the root mean-square radius, and the magnetic dipole moment of 5He are also calculated. Some new levels for these nuclei are obtained. The role of the three-body forces is also investigated for the nucleus 5He.